Coupling machine learning and synthetic image DIC-based techniques for the calibration of elastoplastic constitutive models

Coupling machine learning and synthetic image DIC-based techniques for the calibration of elastoplastic constitutive models

PRATES Pedro A., HENRIQUES Joan D. F., PINTO Jose, BASTOS Nelson, ANDRADE-CAMPOS Antonio

download PDF

Abstract. Today, most design tasks are based on simulation tools. However, the success of the simulation depends on the accurate calibration of constitutive models. Inverse-based calibration methods, such as the Finite Element Model Updating and the Virtual Fields Method, have been developed for identifying constitutive parameters. These methods are based on mechanical tests that allow heterogeneous strain fields under the “Material Testing 2.0” paradigm in which digital image correlation plays a vital role. Although these methods have been proven effective, constitutive model calibration is still a complex task. A machine learning approach is developed and implemented to calibrate elastoplastic constitutive models for metal sheets, using datasets populated with finite element simulation results of strain field data from mechanical tests. Feature importance analysis is conducted to understand the importance of the different input features and to reduce the computational cost related with model training. Synthetic image DIC-based techniques were coupled with the numerically generated database, enabling the construction of a virtual experiments database that accounts for sources of uncertainty that can influence experimental DIC measurements. A robustness analysis of the methodology is performed for the boundary conditions of the test.

Keywords
Constitutive Model Calibration, Elastoplasticity, Machine Learning, DIC

Published online 4/19/2023, 10 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: PRATES Pedro A., HENRIQUES Joan D. F., PINTO Jose, BASTOS Nelson, ANDRADE-CAMPOS Antonio, Coupling machine learning and synthetic image DIC-based techniques for the calibration of elastoplastic constitutive models, Materials Research Proceedings, Vol. 28, pp 1193-1202, 2023

DOI: https://doi.org/10.21741/9781644902479-130

The article was published as article 130 of the book Material Forming

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] S. Avril, M. Bonnet, A.-S. Bretelle, M. Grédiac, F. Hild, P. Ienny, F. Latourte, D. Lemosse, S. Pagano, E. Pagnacco, F. Pierron, Overview of identification methods of mechanical parameters based on full-field measurements, Exp. Mech. 48 (2008) 381–402. https://doi.org/10.1007/s11340-008-9148-y
[2] P.A. Prates, A.F.G. Pereira, N.A. Sakharova, M.C. Oliveira, J.V. Fernandes, Inverse strategies for identifying the parameters of constitutive laws of metal sheets, Adv. Mater. Sci. Eng. 2016 (2016) 4152963. https://doi.org/10.1155/2016/4152963
[3] A. Andrade-Campos, N. Bastos, M. Conde, M. Gonçalves, J. Henriques, R. Lourenço, J.M.P. Martins, M.G. Oliveira, P. Prates, L. Rumor, On the inverse identification methods for forming plasticity models using full-field measurements, IOP Conf. Ser. Mater. Sci. Eng. 1238 (2022) 012059. https://doi.org/10.1088/1757-899X/1238/1/012059
[4] J. Martins, A. Andrade-Campos, S. Thuillier, Comparison of inverse identification strategies for constitutive mechanical models using full-field measurements, Int. J. Mech. Sci. 145 (2018) 330–345. https://doi.org/10.1016/j.ijmecsci.2018.07.013
[5] N. Souto, A. Andrade-Campos, S. Thuillier, Mechanical design of a heterogeneous test for material parameters identification, Int. J. Mater. Form. 10 (2017) 353-367. https://doi.org/10.1007/s12289-016-1284-9
[6] N. Bastos, P. Prates, A. Andrade-Campos, Material parameter identification of elastoplastic constitutive models using machine learning approaches, Key Eng. Mater. 926 (2022) 2193-2200. https://doi.org/10.4028/p-zr575d
[7] A.E. Marques, A.F.G. Pereira, B.M. Ribeiro, P.A. Prates, On the identification of material constitutive model parameters using machine learning algorithms, Key Eng. Mater. 926 (2022) 2146-2153. https://doi.org/10.4028/p-5hf550
[8] R. Schulte, C. Karca, R. Ostwald, A. Menzel, Machine learning-assisted parameter identification for constitutive models based on concatenated loading path sequences, Eur. J. Mech. A-Solid. 98 (2023) 104854. https://doi.org/10.1016/j.euromechsol.2022.104854
[9] J. Martins, A. Andrade-Campos, S. Thuillier, Calibration of anisotropic plasticity models using a biaxial test and the virtual fields method, Int. J. Solids Struct. 172 (2019) 21-37. https://doi.org/10.1016/j.ijsolstr.2019.05.019
[10] Dassault Systèmes. Abaqus 2017 documentation, 2017.
[11] S. Lundberg, S. Lee, A Unified approach to interpreting model predictions, 2017.
[12] MatchID: Metrology beyond colors. MatchID version 2022.2, 2022.
[13] T. Chen, C. Guestrin, XGBoost: A scalable tree boosting system, in Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, 2016, pp. 785-794.